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Sedbober [7]
1 year ago
11

Jillian and dawn are playing a game of miniature golf. in this game, the score on a hole is the number of putts it takes to get

the ball into the hole. the winner is the player with the lowest score. after playing 18 holes, jillian’s mean is 2.4 and dawn’s mean is 3.3. which explains who won the game?
Mathematics
1 answer:
inna [77]1 year ago
6 0

Jillian won the game because Jillian's mean is 2.4.

<h3>What is mean?</h3>

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. For the mean, we sum up all the given and divide them by the number of data.

It is given that Jillian and dawn are playing a game of miniature golf. The winner is the player with the lowest score. after playing 18 holes, Jillian's mean is 2.4, and dawn’s mean is 3.3.

From the definition of the mean, it is concluded that if the mean is low then the entire score will also be lower. Then Jillian's mean is 2.4 then Jillian's overall score will also be low.

Therefore, Jillian won the game because Jillian's mean is 2.4.

To know more about mean follow

brainly.com/question/968894

#SPJ1

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Work out the formula of the nth term in the following quadratic sequence:<br> 19, 15, 9, 1...
Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference.  Let's verify that.

n          1   2   3   4

f(n)       19  15  9   1

1st diff   -4  -6  -8

2nd diff     2   2

We see that we got a constant second difference.  We could just extend that and work back up to get more values.

n          1   2   3   4       5    6      7

f(n)       19  15  9   1      -9   -21   -35

1st diff   -4  -6  -8   -10  -12   -14

2nd diff     2   2    2     2    2

That's just an aside; we're after the general formula.  We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an²  + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c =  9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly.  Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

6 0
3 years ago
Which of these describes the equation –18x + 9y = –416?
Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form y = mx + b.

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

<u>Important Tip:</u>

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

18x + 9y = -416

subtract 18x from both sides

18x+9y-18x = - 18x-416

simplify

9y = -18x - 416

divide both sides by 9

y=-2x-\frac{416}{9}

Now, comparing the equation y=-2x-\frac{416}{9} with a slop-intercept form of linear equation

  • The slope m = -2
  • The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form y = mx + b.

From the attached graph, is also clear that the graph of the equation y=-2x-\frac{416}{9} is a straight line.

Hence, option D is correct.

3 0
2 years ago
Read 2 more answers
Ben is 12 years older than Ishaan. Ben and Ishaan first met two years ago. Three years ago, Ben was 4 times as old as Ishaan. Ho
Len [333]

Answer:

I think that Ishaan is 6

Step-by-step explanation:

I am very sorry if it is wrong

4 0
3 years ago
Hey what's the answer ?<br><img src="https://tex.z-dn.net/?f=%28%20%7By%7D%5E%7B2%7D%20%20%2B%20%20%5Cfrac%7B5%7D%7B7%7D%20%29%2
3241004551 [841]

Answer: y^4 + \frac{-73}{35}y^2- 2

Step-by-step explanation:

Use FOIL:

y^4 + \frac{-14}{5}y^2 + \frac{5}{7}y^2 + \frac{-70}{35}

Make  \frac{-14}{5}y^2 and \frac{5}{7}y^2 have the same numerator:

\frac{-14*7}{5*7}y^2 =\frac{-98}{35}y^2

\frac{5*5}{7*5} y^2=\frac{25}{35} y^2

Then add like terms and simplify:

y^4 + \frac{-98}{35}y^2 + \frac{25}{35} y^2 + \frac{-70}{35}

y^4 + \frac{-73}{35}y^2- 2

7 0
3 years ago
Read 2 more answers
Please, someone, help me
qwelly [4]

Answer:

282.7 in³

Step-by-step explanation:

The solid is a cylinder

Volume of the cylinder = πr²h

Where,

radius (r) = 3 in.

height (h) = 10 in

Volume = π*3²*10

= π*9*10

= π*90

= 282.743339 ≈ 282.7 in³ (nearest tenth)

8 0
3 years ago
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